| Two trains running in opposite directions cross a man standing on the platform in 27 and 17 s respectively and they cross each other in 23 s. What is the ratio of their speeds? |
A) 1 : 3
B) 3 : 2
C) 3 : 4
D) 1 : 2
E) 2 : 1
Correct Answer: B
Solution :
| Let the speeds of two trains of x m/s and y m/s. |
| Then, length of first train = 27 x m |
| Length of second train = 17 y m |
| According to the question, |
| \[27x+17y=23\,(x+y)\] |
| \[\Rightarrow \] \[(27-23)\,x=(23-17)\,y\] |
| \[\Rightarrow \] \[\frac{x}{y}=\frac{6}{4}=\frac{3}{2}\] |
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